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From Desmos we have the outstanding graphing calculator, their Facebook page(youdo not need to be a Facebook user to view this) is also worth keeping an eye on. Some of the photos availablemake ideal starters. See the Think Fast series or perhaps Mental Maths Monday; there are also several probability problems. I think I’ll try some of the Mental Maths Monday series with my sixth form students – look at this for example!

The problem shown in the image could be used with younger students but also with older students who could look at an algebraic proof.

This video from Numberphilemade me think about possible starters / fuller investigations on gaps between primes; something which could be investigated by students of various ages. I like the idea of using it for proof with older students, for example considering which gaps are not possible between primes and why.

and finally…In the news – look how useful mathematics can be! The University Sheffield Mathematics Department have been considering the very serious problem of how to build a perfect scone!You can read the paper here, skip straight to section 4 for the recommendations!